A student sets up the following equation to convert a measurement. (The ? stands for a number the student is going to calculate.) Fill in the missing part of this equation. Note: your answer should be in the form of one or more fractions multiplied together. kg m 54. g'cm
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- Soccer fields vary in size. A large soccer field is 144 meters long and 84.4 meters wide. Hint a. What are its dimensions in feet? o Its length is ft. o Its width is b. What are its dimensions in inches? o Its length is o Its width is ft. in. in.Practice) a. To convert feet (ft) to meters (m), the number of feet should be multiplied by which of the following conversion factors? i. 1 m/3.28 ft ii. 3.28 ft/1 m b. To convert sq.in to sq.ft, the number of sq.in should be multiplied by which of the following conversion factors? i. 144 sq.in/1 sq.ft ii. 1 sq.ft/144 sq.in c. To convert sq.yd to sq.ft, the number of sq.yd should be multiplied by which of the following conversion factors? i. 1 sq.yd/9 sq.ft ii. 9 sq.ft/1 sq.yd 3. (Practice) Determine the final units of the following expression: 9.8m/s2 ×100cm/1m×1in/2.54cm×1ft/12in 4. (Practice) a. Determine the conversion factors that can be used to convert miles per gallon (mpg = mi/gal) to kilometers per liter (km/liter), given that 1 liter = 0.22 gallons and 1 kilometer = 0.6214 miles. b. Using the conversion factors you determined in Exercise 4a, convert 25 mpg into km/liter. 5. (Automotive) a. An automobile engine’s performance can be determined by monitoring its rotations per…USING LENGTH MEASUREMENTS MADE WITH A CENTIMETER RULER U.S. MINT MEASURED USING CENTIMETER RULER MEASURED USING CENTIMETER RULER CALCULATE CALCULATE COIN Measured MASS m (grams) Measured Diameter d (cm) Measured Thickness t (cm) Volume , V=(π*(d^2)* t)/4 (cm^3) Mass Density ρ= m/V (grams/cm^3) SIG. FIGS. Dime 2.268 1.76 0.14 ? ? Penny 2.500 1.88 0.152 ? ? Quarter 5.670 2.36 0.175 ? ? UNCERTAINTIES COIN Uncertainty in mass δm (grams) (taken as EXACT) Uncertainty in Diameter δd (cm) (taken as EXACT) Uncertainty in Thickness δt (cm) (taken as EXACT) SIG. FIGS. Dime 0.001 0.05 0.05 ? ? Penny 0.001 0.05 0.05 ? ? Quarter 0.001 0.05 0.05 ? ?
- a. Multiply (1.359 x 109 m) by (2.4 x 10-¹0 m). Express your answer in scientific notation. b. Divide 1.24 x 108 m by 0.00020 sec. Express your answer in scientific notation and by using a prefix.1.3 The Role of Units in Problem Solving A particular convenience store offers a drink called the "MegaGulp". If the cup holds 107 fl oz. of liquid and we treat the "Mega" in the name as a metric prefix, how many mL are in a "Gulp"? O 0.000107 O 0.000000362 O 316000000 O 0.00317 Save for Later Submit AnswerInstructions: Answer must be in standard form scientific notation with SI units that do not have prefixes except for kg. Provide the answer with the correct amount of significant figures. Thank you I greatly appreciate it